Articles | Volume 9, issue 10
https://doi.org/10.5194/gmd-9-3803-2016
https://doi.org/10.5194/gmd-9-3803-2016
Development and technical paper
 | 
27 Oct 2016
Development and technical paper |  | 27 Oct 2016

A structure-exploiting numbering algorithm for finite elements on extruded meshes, and its performance evaluation in Firedrake

Gheorghe-Teodor Bercea, Andrew T. T. McRae, David A. Ham, Lawrence Mitchell, Florian Rathgeber, Luigi Nardi, Fabio Luporini, and Paul H. J. Kelly

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Cited articles

Bercea, G.-T.: Unstructured meshes for extrusion article, https://doi.org/10.5281/zenodo.61819, 2016a.
Bercea, G.-T.: Data and plot scripts for Haswell experiments, https://doi.org/10.5281/zenodo.61919, 2016b.
Bercea, G.-T.: Data and plot scripts for Sandy Bridge experiments, https://doi.org/10.5281/zenodo.61920, 2016c.
COFFEE: A Compiler for Fast Expression Evaluation, https://doi.org/10.5281/zenodo.47715, 2016.
FFC: FEniCS Form Compiler, https://doi.org/10.5281/zenodo.47761, 2016.
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Short summary
Unstructured meshes offer flexibility but are perceived as slow. Some applications, including atmosphere or ocean simulations, admit an extruded mesh: the horizontal mesh may be unstructured, but the vertical dimension can be traversed in a structured way. By extending the Firedrake automated simulation framework to this case, we show that an extruded mesh can be traversed as fast as a structured mesh. This paves the way for highly efficient unstructured mesh models of the ocean and atmosphere.